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In this fiqure, PQ = PR = PS and SRT = 68\(^o\). Find QPS


In this fiqure, PQ = PR = PS and SRT = 68\(^o\). Find QPS
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  • A 136\(^o\)
  • B 124\(^o\)
  • C 112\(^o\)
  • D 68\(^o\)
Correct Answer: Option A
Explanation:

2y + 2x + QPS = 360\(^o\)

i.e. (y + x) + QPS = 360\(^o\)

QPS = 360\(^o\) - 2 (y + x)
ut x + y + 68\(^o\) = 180\(^o\)

There; x + y = 180\(^o\) - 68\(^o\) = 112\(^o\)

QPS = 360 - 2(112\(^o\))

= 360\(^o\) - 224 = 136\(^o\)

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